29400568320 has 160 divisors (see below), whose sum is σ = 94669565760. Its totient is φ = 7783464960.

The previous prime is 29400568319. The next prime is 29400568381. The reversal of 29400568320 is 2386500492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053750 + ... + 1081290.

It is an arithmetic number, because the mean of its divisors is an integer number (591684786).

Almost surely, 2^29400568320 is an apocalyptic number.

29400568320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29400568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47334782880).

29400568320 is an abundant number, since it is smaller than the sum of its proper divisors (65268997440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29400568320 is a wasteful number, since it uses less digits than its factorization.

29400568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27706 (or 27690 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 29400568320 in words is "twenty-nine billion, four hundred million, five hundred sixty-eight thousand, three hundred twenty".